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In a harbour, wind is blowing at the speed of 72 kmph and the flag on the mast of a boat anchored in the harbor flutter along the N-E direction. If the boat starts moving at a speed of 51 km/h to the north, what is the direction of the flag on the mast of the boat?

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a

east

b

north of east

c

370 south of east

d

south –west

answer is A.

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Detailed Solution

v¯W= velocity of wind = 72 km/h The flag will flutter in the direction of velocity of wind with respect to the boat or v¯WB=v¯W−v¯B; 72cos450=51 Thus, it is evident that v¯WB is towards east.

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In a harbour, wind is blowing at the speed of 72 kmph and the flag on the mast of a boat anchored in the harbor flutter along the N-E direction. If the boat starts moving at a speed of 51 km/h to the north, what is the direction of the flag on the mast of the boat?